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ECE302 Homework #2
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Assigned 9/08/09, Due 9/18/09 (by 4:30 in dropbox in MSEE 330)
1. Text, problem 2.97, page 91
2. Text, problem 3.18, page 132.
: Let be the index of the ±rst refresh request which is
not lost, i.e.,
if the ±rst
requests are lost, and request is not lost. Now express
and evaluate the probability of extending the reservation time due to refresh requests in
terms of the pmf for .
3. Text, problem 4.14, page 216.
4. Text, problem 4.24, page 218
5. A random variable has a pdf
(a) Find the value of
(b) Find the probability that
, and the probability that
(c) Find the probability that
(d) Find the cdf of
Plot the pdf and the cdf of
6. A random variable has a pmf
(a) Find the value of
(b) Find the probability that
, and the probability that